Factor x^2+x-56

Problem

x2+x−56

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=1 and c=−56

2. Find two numbers that multiply to c (which is −56 and add to b (which is 1.

3. Determine the factors by testing pairs of numbers that multiply to −56 such as 8 and −7

4. Verify that 8 + (-7) = 1a*n*d \times (-7) = -56$.

5. Write the expression in factored form (x+p)*(x+q) using the numbers found.

Final Answer

x2+x−56=(x+8)*(x−7)

Want more problems? Check here!